O-Operators on Lie ∞-algebras with respect to Lie ∞-actions

被引：4

作者：

Caseiro, Raquel ^{[1
]}

da Costa, Joana Nunes ^{[1
]}

机构：

[1] Univ Coimbra, Dept Math, CMUC, P-3001501 Coimbra, Portugal

来源：

COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 07期

关键词：

Lie infinity-algebra; O-operator; Maurer Cartan element;

D O I：

10.1080/00927872.2022.2025819

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define O-operators on a Lie infinity-algebra E with respect to an action of E on another Lie infinity-algebra and we characterize them as Maurer-Cartan elements of a certain Lie infinity-algebra obtained by Voronov's higher derived brackets construction. The Lie infinity-algebra that controls the deformation of O-operators with respect to a fixed action is determined.

引用

页码：3079 / 3101

页数：23

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